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Finding the Fourth Proportional to 106,805.76, 147,342.88 and 69,092.16

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Solution

The fourth proportional to 106,805.76, 147,342.88 and 69,092.16 is: 95,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,805.76 : 147,342.88 = 69,092.16 : x
  2. Step 2: Convert to fraction form
    106,805.76/147,342.88 = 69,092.16/x
  3. Step 3: Cross multiply
    106,805.76x = 147,342.88 × 69,092.16
  4. Step 4: Simplify right side
    106,805.76x = 10,180,237,839.82
  5. Step 5: Solve for x
    x = 10,180,237,839.82/106,805.76
  6. Step 6: Final answer
    x = 95,315.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.